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Finding the Fourth Proportional to 3,267.93, 4,509.63 and 1,775.82

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Solution

The fourth proportional to 3,267.93, 4,509.63 and 1,775.82 is: 2,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.93 : 4,509.63 = 1,775.82 : x
  2. Step 2: Convert to fraction form
    3,267.93/4,509.63 = 1,775.82/x
  3. Step 3: Cross multiply
    3,267.93x = 4,509.63 × 1,775.82
  4. Step 4: Simplify right side
    3,267.93x = 8,008,291.15
  5. Step 5: Solve for x
    x = 8,008,291.15/3,267.93
  6. Step 6: Final answer
    x = 2,450.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.